Understanding Slope-Intercept Form

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does 'm' represent in the slope-intercept form?

Back

In the equation y = mx + b, 'm' represents the slope, which indicates the rate of change of y with respect to x.

Front

What does 'b' represent in the slope-intercept form?

Back

In the equation y = mx + b, 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

Write the equation of a line with a slope of 1 and a y-intercept of 4.

Back

y = 1x + 4 or y = x + 4.

Front

What is the y-intercept of the equation y = 3x - 5?

Back

The y-intercept is -5.

Front

If a line has a slope of -2, what does this indicate about the line's direction?

Back

A slope of -2 indicates that the line descends from left to right.

Front

Convert the equation y = -3x + 7 to slope-intercept form.

Back

The equation is already in slope-intercept form: y = -3x + 7.

Front

What is the slope of the line represented by the equation y = 5?

Back

The slope is 0, indicating a horizontal line.

Front

How would you write the equation for a line with a slope of 2 and a y-intercept of -1?

Back

y = 2x - 1.